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math.AP2022
Regularity results for degenerate wave equations in a neighborhood of the boundary
Bruno S. V. Araújo, Reginaldo Demarque, Luiz Viana
In this paper we establish some regularity results concerning the behavior of weak solutions and very weak solutions of the degenerate wave equation near the boundary. For the nond…
math.AP2022
Carleman inequality for a class of super strong degenerate parabolic operators and applications
Bruno S. V. Araújo, Reginaldo Demarque, Luiz Viana
In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a sta…